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Finding the Fourth Proportional to 13,437.84, 18,544.08 and 7,469.76

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Solution

The fourth proportional to 13,437.84, 18,544.08 and 7,469.76 is: 10,308.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,437.84 : 18,544.08 = 7,469.76 : x
  2. Step 2: Convert to fraction form
    13,437.84/18,544.08 = 7,469.76/x
  3. Step 3: Cross multiply
    13,437.84x = 18,544.08 × 7,469.76
  4. Step 4: Simplify right side
    13,437.84x = 138,519,827.02
  5. Step 5: Solve for x
    x = 138,519,827.02/13,437.84
  6. Step 6: Final answer
    x = 10,308.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.